1317888000 has 672 divisors, whose sum is σ = 5581753632. Its totient is φ = 294912000.

The previous prime is 1317887999. The next prime is 1317888007. The reversal of 1317888000 is 8887131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317888007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101375994 + ... + 101376006.

It is an arithmetic number, because the mean of its divisors is an integer number (8306181).

Almost surely, 2^1317888000 is an apocalyptic number.

1317888000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1317888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790876816).

1317888000 is an abundant number, since it is smaller than the sum of its proper divisors (4263865632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1317888000 is a wasteful number, since it uses less digits than its factorization.

1317888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The square root of 1317888000 is about 36302.7271702830. The cubic root of 1317888000 is about 1096.3759521521.

The spelling of 1317888000 in words is "one billion, three hundred seventeen million, eight hundred eighty-eight thousand".